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Finding the Third Proportional to 269,124 and 634,401

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Solution

The third proportional to 269,124 and 634,401 is: 1,495,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,124 : 634,401 = 634,401 : x
  2. Step 2: Convert to fraction form
    269,124/634,401 = 634,401/x
  3. Step 3: Cross multiply
    269,124x = 634,401 × 634,401
  4. Step 4: Simplify right side
    269,124x = 402,464,628,801
  5. Step 5: Solve for x
    x = 402,464,628,801/269,124
  6. Step 6: Final answer
    x = 1,495,461.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.